312000140241300 has 288 divisors, whose sum is σ = 1089899977492480. Its totient is φ = 67317027955200.

The previous prime is 312000140241287. The next prime is 312000140241373. The reversal of 312000140241300 is 3142041000213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3062416 + ... + 25167015.

Almost surely, 2^{312000140241300} is an apocalyptic number.

312000140241300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312000140241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544949988746240).

312000140241300 is an abundant number, since it is smaller than the sum of its proper divisors (777899837251180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312000140241300 is a wasteful number, since it uses less digits than its factorization.

312000140241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28229751 (or 28229744 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 312000140241300 its reverse (3142041000213), we get a palindrome (315142181241513).

The spelling of 312000140241300 in words is "three hundred twelve trillion, one hundred forty million, two hundred forty-one thousand, three hundred".